TSTP Solution File: NUM907_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM907_1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:46:48 EDT 2024
% Result : Theorem 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 92 ( 67 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 92 ( 36 ~; 34 |; 14 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 162 ( 0 atm; 121 fun; 5 num; 36 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 24 !; 12 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $rat ).
tff(func_def_6,type,
sK1: $rat ).
tff(func_def_7,type,
sK2: $rat ).
tff(f194,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f37,f144,f191,f193]) ).
tff(f193,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f172,f24,f32]) ).
tff(f32,plain,
( spl3_3
<=> ( sK1 = $sum(sK2,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f24,plain,
( spl3_1
<=> ( sK2 = $sum(sK0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f172,plain,
( ( sK1 = $sum(sK2,$uminus(sK0)) )
| ~ spl3_1 ),
inference(superposition,[],[f123,f146]) ).
tff(f146,plain,
( ! [X0: $rat] : ( $sum(sK2,X0) = $sum(sK0,$sum(X0,sK1)) )
| ~ spl3_1 ),
inference(superposition,[],[f145,f4]) ).
tff(f4,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f145,plain,
( ! [X0: $rat] : ( $sum(sK2,X0) = $sum(sK0,$sum(sK1,X0)) )
| ~ spl3_1 ),
inference(superposition,[],[f5,f25]) ).
tff(f25,plain,
( ( sK2 = $sum(sK0,sK1) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f5,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f123,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
inference(evaluation,[],[f110]) ).
tff(f110,plain,
! [X0: $rat,X1: $rat] : ( $sum(0/1,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f191,plain,
( spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f152,f24,f28]) ).
tff(f28,plain,
( spl3_2
<=> ( sK0 = $sum(sK2,$uminus(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f152,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ~ spl3_1 ),
inference(evaluation,[],[f148]) ).
tff(f148,plain,
( ( $sum(sK2,$uminus(sK1)) = $sum(sK0,0/1) )
| ~ spl3_1 ),
inference(superposition,[],[f145,f8]) ).
tff(f144,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f136,f28,f24]) ).
tff(f136,plain,
( ( sK2 = $sum(sK0,sK1) )
| ~ spl3_2 ),
inference(evaluation,[],[f127]) ).
tff(f127,plain,
( ( $sum(sK0,sK1) = $sum(sK2,0/1) )
| ~ spl3_2 ),
inference(superposition,[],[f108,f38]) ).
tff(f38,plain,
! [X0: $rat] : ( 0/1 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f8,f14]) ).
tff(f14,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f108,plain,
( ! [X0: $rat] : ( $sum(sK2,$sum($uminus(sK1),X0)) = $sum(sK0,X0) )
| ~ spl3_2 ),
inference(superposition,[],[f5,f29]) ).
tff(f29,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f37,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f20,f28,f24]) ).
tff(f20,plain,
( ( sK0 = $sum(sK2,$uminus(sK1)) )
| ( sK2 = $sum(sK0,sK1) ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) )
& ( ( ( sK1 = $sum(sK2,$uminus(sK0)) )
& ( sK0 = $sum(sK2,$uminus(sK1)) ) )
| ( sK2 = $sum(sK0,sK1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) )
=> ( ( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) )
& ( ( ( sK1 = $sum(sK2,$uminus(sK0)) )
& ( sK0 = $sum(sK2,$uminus(sK1)) ) )
| ( sK2 = $sum(sK0,sK1) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( ( $sum(X2,$uminus(X0)) != X1 )
| ( $sum(X2,$uminus(X1)) != X0 )
| ( $sum(X0,X1) != X2 ) )
& ( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
| ( $sum(X0,X1) = X2 ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<~> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat,X1: $rat,X2: $rat] :
( ( $sum(X0,X1) = X2 )
<=> ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_2) ).
tff(f35,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f22,f32,f28,f24]) ).
tff(f22,plain,
( ( sK1 != $sum(sK2,$uminus(sK0)) )
| ( sK0 != $sum(sK2,$uminus(sK1)) )
| ( sK2 != $sum(sK0,sK1) ) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM907_1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 04:02:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.74 % (8963)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.59/0.74 % (8960)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.59/0.74 % (8958)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.59/0.74 % (8959)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.74 % (8961)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.59/0.74 % (8962)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.59/0.74 % (8957)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.59/0.74 % (8960)Refutation not found, incomplete strategy% (8960)------------------------------
% 0.59/0.74 % (8960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74 % (8960)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74
% 0.59/0.74 % (8960)Memory used [KB]: 958
% 0.59/0.74 % (8960)Time elapsed: 0.003 s
% 0.59/0.74 % (8960)Instructions burned: 3 (million)
% 0.59/0.74 % (8957)Refutation not found, incomplete strategy% (8957)------------------------------
% 0.59/0.74 % (8957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74 % (8960)------------------------------
% 0.59/0.74 % (8960)------------------------------
% 0.59/0.74 % (8957)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74
% 0.59/0.74 % (8957)Memory used [KB]: 983
% 0.59/0.74 % (8957)Time elapsed: 0.004 s
% 0.59/0.74 % (8957)Instructions burned: 3 (million)
% 0.59/0.74 % (8957)------------------------------
% 0.59/0.74 % (8957)------------------------------
% 0.59/0.75 % (8964)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.59/0.75 % (8965)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.59/0.75 % (8964)Refutation not found, incomplete strategy% (8964)------------------------------
% 0.59/0.75 % (8964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (8964)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (8959)First to succeed.
% 0.59/0.75 % (8964)Memory used [KB]: 957
% 0.59/0.75 % (8964)Time elapsed: 0.004 s
% 0.59/0.75 % (8964)Instructions burned: 2 (million)
% 0.59/0.75 % (8964)------------------------------
% 0.59/0.75 % (8964)------------------------------
% 0.59/0.75 % (8959)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8956"
% 0.59/0.75 % (8959)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Theorem for theBenchmark
% 0.59/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.75 % (8959)------------------------------
% 0.59/0.75 % (8959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (8959)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (8959)Memory used [KB]: 1086
% 0.59/0.75 % (8959)Time elapsed: 0.010 s
% 0.59/0.75 % (8959)Instructions burned: 13 (million)
% 0.59/0.75 % (8956)Success in time 0.385 s
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------